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Matematicheskie Trudy, 2003, Volume 6, Number 1, Pages 75–97 (Mi mt85)  
This article is cited in 1 scientific paper (total in 1 paper)

Generic Automorphisms

K. Zh. Kudaibergenov

Institute of Mathematics, Ministry of Education and Science, Republic of Kazakhstan
Full-text PDF (1956 kB) Citations (1)
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Abstract: We study generic sequences of automorphisms. For some classes of models (for example, saturated models), we show that every sequence of automorphisms whose length does not exceed the cardinality of the model is the element-wise product of two generic sequences. We also prove that the fixed field of a finite generic sequence of automorphisms of a separably closed field is regularly closed.
Key words: generic sequence of automorphisms, homogeneous model, separably closed field.
Received: 17.04.2002
Bibliographic databases:
UDC: 510.67
Language: Russian
Citation: K. Zh. Kudaibergenov, “Generic Automorphisms”, Mat. Tr., 6:1 (2003), 75–97; Siberian Adv. Math., 14:1 (2004), 47–65
Citation in format AMSBIB
\Bibitem{Kud03}
\by K.~Zh.~Kudaibergenov
\paper Generic Automorphisms
\jour Mat. Tr.
\yr 2003
\vol 6
\issue 1
\pages 75--97
\mathnet{http://mi.mathnet.ru/mt85}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1985626}
\zmath{https://zbmath.org/?q=an:1074.03508|1033.03023}
\transl
\jour Siberian Adv. Math.
\yr 2004
\vol 14
\issue 1
\pages 47--65
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  • https://www.mathnet.ru/eng/mt85
  • https://www.mathnet.ru/eng/mt/v6/i1/p75
    • This publication is cited in the following 1 articles:
    1. K. Zh. Kudaǐbergenov, “On dense free subgroups of the automorphism group”, Siberian Adv. Math., 24:1 (2014), 43–46  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    References:62
    First page:1
     
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